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Finding the Third Proportional to 117,470.25 and 189,145.13

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Solution

The third proportional to 117,470.25 and 189,145.13 is: 304,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,470.25 : 189,145.13 = 189,145.13 : x
  2. Step 2: Convert to fraction form
    117,470.25/189,145.13 = 189,145.13/x
  3. Step 3: Cross multiply
    117,470.25x = 189,145.13 × 189,145.13
  4. Step 4: Simplify right side
    117,470.25x = 35,775,878,311.27
  5. Step 5: Solve for x
    x = 35,775,878,311.27/117,470.25
  6. Step 6: Final answer
    x = 304,552.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.